4 ms·
>However if you move along any line that's not parallel to x or y axis then both x and y value change simultaneously. A third orthogonal axis is neither parall
by Maybestring 9y ago
>However if you move along any line that's not parallel to x or y axis then both x and y value change simultaneously.
A third orthogonal axis is neither parallel to x and y, nor do x and y vary as you move along it.
Replace parallel with linearly indepent, and you are spot on.
- romwell 9y agoNo need to replace anything; the implicit assumption is a 2D space.
- Maybestring 8y agoThen you can only talk about two concepts. I would like to be able to say, intelligence, morality, and obesity are mutually orthogonal. If your model is 2D, then you are requiring a relationship between at least two of them.
- romwell 8y agoThe example was in 2D. The reader is able to generalize from there, we hope, no? :)
- Maybestring 8y agoAs long as you don't rely on concepts that don't generalize to higher dimensions. To the extent that you use concepts that don't generalize in your example, you are using a poor example.